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3 years ago

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In a coordinate plane, plot the points and sketch angle. Write the coordinates of a point that lies in the interior of the a

ngle and the coordinates of a point that lies in the exterior of the
angle.
A(-5,0)
B(-1,-4)
C(4,2)

1 answer:

koban [17]3 years ago

7 0

Answer:

A.

Step-by-step explanation:

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If j and k are nonzero integers, which pair of points must lie in the same quadrant?

Marizza181 [45]

<h3>Answer: Choice D. (3j, 3k) and (3/j, 3/k)</h3>

The slash indicates a fraction.

=============================================

Proof:

We'll need to consider 4 different cases.

-----------------------

Case (1): j > 0 and k > 0

If j > 0, then 3j > 0 and 3/j > 0

If k > 0, then 3k > 0 and 3/k > 0

The two points (3j, 3k) and (3/j, 3/k) are both in quadrant 1.

-----------------------

Case (2): j > 0 and k < 0

If j > 0, then 3j > 0 and 3/j > 0

If k < 0, then 3k < 0 and 3/k < 0

Points (3j, 3k) and (3/j, 3/k) are both in quadrant 4.

------------------------

Case (3): j < 0 and k > 0

If j < 0, then 3j < 0 and 3/j < 0

If k > 0, then 3k > 0 and 3/k > 0

Points (3j, 3k) and (3/j, 3/k) are in quadrant 3.

------------------------

Case (4): j < 0 and k < 0

If j < 0, then 3j < 0 and 3/j < 0

If k < 0, then 3k < 0 and 3/k < 0

Points (3j, 3k) and (3/j, 3/k) are in quadrant 4.

------------------------

For nonzero integers j and k, we've shown that Points (3j, 3k) and (3/j, 3/k) are in the same quadrant. This concludes the proof.

8 0

2 years ago

Read 2 more answers

Chance bought a surf board for 249. Now it's on sale for 221.10. Find the percent of the discount

Masteriza [31]

<u>Answer: </u>

Chance bought a surf board for 249. Now it's on sale for 221.10 and 11.20% is the discount.

<u>Solution: </u>

Step 1:

Bought price= RS.249

Sale price=RS.221.10

Step 2:

Discount = bought price - sales price

Discount = 249 - 221.10

Discount = 27.9

Step 3:

Discount Percent = $\frac{\text {Discount}}{M R P} \times 100$

Substitute the value for Discount which we found in step 2 in the above formulae

Discount Percent = $\frac{27.9}{249} \times 100$

On simplification, we get

$\frac{27.9}{249} \times 100$

Discount Percent = 11.20%

Result:

Hence from the given data, we got the discount percent is 11.20%

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3 years ago

Round to the nearest tenth if necessary.

kenny6666 [7]

Answer:

12.1

Step-by-step explanation:

=(−2−9)2+(7−12)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=(−11)2+(−5)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=121+25‾√

=1√46

=12.083046

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3 years ago

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Tina says that 6:8 is equivalent to 36:34.what did tina do wrong

Nutka1998 [239]

I hope this helps you

6/8=6.6/8.6=36/48

36/34=6.6/2.17=18/17 wrong

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3 years ago

What is the area of the shaded region

pentagon [3]

is there supposed to be a picture? if so it isn’t there

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3 years ago